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The Arithmetic-Geometric Mean Inequality (I)
The arithmetic-geometric mean inequality:
, for
.
The figure shows that
, therefore
.
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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Reference: D. Schattschneider, "Proof without Words: The Arithmetic Mean-Geometric Mean Inequality,"
Mathematics Magazine
,
59
(1), 1986 p. 11.
RELATED LINKS
Arithmetic Mean
(
Wolfram
MathWorld
)
Geometric Mean
(
Wolfram
MathWorld
)
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"
The Arithmetic-Geometric Mean Inequality (I)
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TheArithmeticGeometricMeanInequalityI/
Contributed by:
Soledad Mª Sáez Martínez
and
Félix Martínez de la Rosa
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